Results 11 to 20 of about 541,915 (291)

Radicals of Generalized Prime Ideals in Ternary Semigroups [PDF]

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2022
In this paper, the concepts of f-prime ideals and f-semiprime ideals on a ternary semigroup are considered as a generalization of pseudo prime ideals and pseudo semiprime ideals, respectively.
Satvong Narakon   +2 more
doaj   +2 more sources

M− Prime Ideals in Lattices and Their M− Prime Spectrum

open access: yesInternational Journal of Mathematics and Mathematical Sciences
In this paper, we explore various characteristics and attributes of M− prime ideals, minimal M− prime ideals, and weakly M− prime ideals in a lattice. We demonstrate that the image and inverse image of an M− prime ideal (or weakly M− prime ideal) also ...
Natnael Teshale Amare
doaj   +2 more sources

On S-2-Prime Ideals of Commutative Rings

open access: yesMathematics
Prime ideals and their generalizations are crucial in numerous research areas, particularly in commutative algebra. The concept of generalization of prime ideals begins with the study of weakly prime ideals.
Sanem Yavuz   +3 more
doaj   +2 more sources

Some Basic Properties of Completely Prime Ideals in Near Rings [PDF]

open access: yesJournal of Mathematical and Fundamental Sciences, 2015
In this investigation we studied completely prime, weakly completely prime, quasi completely prime and weakly quasi completely prime ideals in near-rings.
Pairote Yiarayong
doaj   +2 more sources

Fermatean fuzzy semi-prime ideals of ordered semigroups

open access: yesTopological Algebra and its Applications, 2023
Fermatean fuzzy sets (FFSs) are invented to resolve the underlying limitations of intuitionistic fuzzy sets and Pythagorean fuzzy sets. The major goal of this study is to introduce Fermatean fuzzy semi-prime ideals of ordered semigroups.
Adak Amal Kumar   +2 more
doaj   +2 more sources

Proper Fuzzification of Prime Ideals of a Hemiring

open access: yesAdvances in Fuzzy Systems, 2012
Prime fuzzy ideals, prime fuzzy k-ideals, and prime fuzzy h-ideals are roped in one condition. It is shown that this way better fuzzification is achieved. Other major results of the paper are: every fuzzy ideal (resp., k-ideal, h-ideal) is contained in a
H. V. Kumbhojkar
doaj   +2 more sources

-prime ideals in posets [PDF]

open access: yes, 2023
In this article, we look at the ideas of $f$-prime ideals and $f$-semi-prime ideals of posets, as well as the many features of $f$-primeness and $f$-semi-primeness in posets.
John, J. Catherine Grace   +5 more
core   +1 more source

On quasi-prime differential semiring ideals

open access: yesНауковий вісник Ужгородського університету. Серія: Математика і інформатика, 2020
The notion of a \verb"quasi-prime ideal", for the first time, was introduced in differential commutative rings, i.e. commutative rings considered together with a derivation, as differential ideals maximal among those not meeting some multiplicatively ...
І. О. Мельник
doaj   +1 more source

On differentially prime ideals of Noetherian semirings

open access: yesНауковий вісник Ужгородського університету. Серія: Математика і інформатика, 2022
The paper is devoted to the investigation of the notion of a differentially prime ideal of a differential commutative semiring (i. e. a semiring equipped with a derivation), and its interrelation with the notions of a quasi-prime ideal and a primary ...
І. О. Мельник
doaj   +1 more source

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